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Q 16

Expert-verifiedFound in: Page 385

Book edition
OER 2018

Author(s)
Barbara Illowsky, Susan Dean

Pages
902 pages

ISBN
9781938168208

Suppose X ~ N(8, 1). What value of x has a z-score of –2.25?

The value of $x$ is$5.75$

Given that, $z=-2.25$. And,

$X~N(8,1)$ Where,

$\mu =8$

$\sigma =1$

We have to find the value of$x$

The value of$z\phantom{\rule{0ex}{0ex}}$-score can be calculated as below:

$z=\frac{x-\mu}{\sigma}$

Put the provided values in the above expression. Then,

$-2.25=\frac{x-8}{1}$

$x-8=-2.25\times 1$

$x=-2.25+8$

$x=5.75$

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